107 citations · 115 across the 5 of their papers we have counts for
5 papers
Local Galois theory in dimension two: Second edition
David Harbater, Katherine F. Stevenson
We prove a generalization of Shafarevich's Conjecture for fields of Laurent series in two variables over an arbitrary field. While not projective, the absolute Galois group of such…
Patching subfields of division algebras
David Harbater, Julia Hartmann, Daniel Krashen
Given a field F, one may ask which finite groups are Galois groups of field extensions E/F such that E is a maximal subfield of a division algebra with center F. This question was…
The local lifting problem for actions of finite groups on curves
Ted Chinburg, Robert Guralnick, David Harbater
Let be an algebraically closed field of characteristic . We study obstructions to lifting to characteristic 0 the faithful continuous action of a finite group on…
Applications of patching to quadratic forms and central simple algebras
David Harbater, Julia Hartmann, Daniel Krashen
This paper provides applications of patching to quadratic forms and central simple algebras over function fields of curves over henselian valued fields. In particular, we use a pat…
On function fields with free absolute Galois groups
David Harbater
We prove that certain fields have the property that their absolute Galois groups are free as profinite groups: the function field of a real curve with no real points; the maximal a…